On the maximum modulus of a polynomial and its derivatives
Let f(z) be an arbitrary entire function and M(f,r)=max|z|=r|f(z)|. For a polynomial P(z), having no zeros in |z|<k, k≥1, Bidkham and Dewan (1992) proved max|z|=r|P′(z)|≤(n(r+k)n−1/(1+k)n)max|z|=1|P(z)| for 1≤r≤k. In this paper, we generalize as well as improve upon the above inequality....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2005-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.2641 |